1 / 10

Definitions and Postulates Segments, Rays, and Distance

Definitions and Postulates Segments, Rays, and Distance. Chapter 1-3 p.11. Definitions/ Naming. Line Segments Endpoints Rays. Opposite Rays (hands on a clock at 6:00pm) Coordinate (on a number line)- number paired with a point. Distance. Length of a segment = distance between endpoints

vui
Download Presentation

Definitions and Postulates Segments, Rays, and Distance

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Definitions and PostulatesSegments, Rays, and Distance Chapter 1-3 p.11

  2. Definitions/ Naming • Line Segments • Endpoints • Rays

  3. Opposite Rays (hands on a clock at 6:00pm) • Coordinate (on a number line)- number paired with a point

  4. Distance • Length of a segment = distance between endpoints • Always positive • On a number line, • Distance=absolute value of the difference in coordinates of two points • Length of segment AB? AB = • Length of segment BC? BC = • Distance between point A and point C? AC ● ● ● __ __

  5. Ruler Postulate • Points on a line can be paired with real numbers in such a way that any two points can have coordinates 0 and 1. • Once a coordinate system has been chosen this way, the distance between any two points equals the absolute value of the difference of their coordinates. • Example: Engineer’s/Architect’s ruler

  6. Segment Addition Postulate • If B is between A and C, then • AB + BC = AC ● ● ●

  7. More Definitions… • Congruent segments have equal length • AB = BC (lengths are equal) and • AB BC (segments are congruent) • Midpoint (of a segment)- point that divides the segment into two congruent segments • Bisector (of a segment)- line, segment, ray, or plane that intersects the segment at its midpoint ● ● ● l __ __

  8. Additional Thoughts… ___ • When P is the midpoint of AB, AP = PB • However, when SM = MT, M is not necessarily the midpoint of ST • When is M not the midpoint of ST? ___ ___ M S T

  9. Fill in the blank with always, sometimes, or never • The length of a segment is _______ negative. • If point S is between points R and V, then S _______ lies on RV. • A coordinate can _________ be paired with a point on a number line. • A bisector of a segment is ___________ a line. • A ray __________ has a midpoint. • Congruent segments ___________ have equal lengths. • AB and BA __________ denote the same ray. never always always sometimes never always never

  10. Homework • Classroom Exercises p.14 #1-14 and 23-26

More Related